Homer manages to escape the airport disguised as Bibendum, the Michelin tire company mascot.
In Paris, Lisa is dressed as Madeline, a character from a French book and TV series of the same name.
Homer, when talking to a policeman, states that "our family is falling apart like your European Union". This is clearly a reference to the British EU Membership Referendum, in which the UK would vote to leave the European Union.
The flying balloon house seen is a reference to the Pixar film Up